Limit theorems for coupled interval maps

Details Limit theorems for coupled interval maps Limit theorems for coupled interval maps

2006-09-22

arxiv.org/abs/math/0609639v1

Mathematics

Dynamical Systems

17 pages

Scientific paper

We prove a local limit theorem for Lipschitz continuous observables on a
weakly coupled lattice of piecewise expanding interval maps. The core of the
paper is a proof that the spectral radii of the Fourier-transfer operators for
such a system are strictly less than 1. This extends the approach of [KL2]
where the ordinary transfer operator was studied.

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